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Finding the Third Proportional to 353,203.50 and 503,164.50

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Solution

The third proportional to 353,203.50 and 503,164.50 is: 716,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,203.50 : 503,164.50 = 503,164.50 : x
  2. Step 2: Convert to fraction form
    353,203.50/503,164.50 = 503,164.50/x
  3. Step 3: Cross multiply
    353,203.50x = 503,164.50 × 503,164.50
  4. Step 4: Simplify right side
    353,203.50x = 253,174,514,060.25
  5. Step 5: Solve for x
    x = 253,174,514,060.25/353,203.50
  6. Step 6: Final answer
    x = 716,795.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.